On the
Equivariant Tamagawa Number Conjecture
for Abelian Extensions
of a Quadratic Imaginary Field

Let $k$ be a quadratic imaginary field, $p$ a prime which splits in $k/\Qu$
and does not divide the class number $h_k$ of $k$. Let $L$ denote a finite
abelian extension of $k$ and let $K$ be a subextension of $L/k$. In this
article we prove the $p$-part of the Equivariant Tamagawa Number Conjecture
for the pair $(h^0(\Spec(L)), \Ze[\Gal(L/K)])$.